688689 ÷ 97 
We're looking to find how many times 97 goes into 688689.

On to step 1:
When dividing 6 by 97, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 97

Step 2:
97 goes into 68 0 times with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 68 after subtracting 0 from 68.
Grab the next digit (8) from the dividend, add it to 68, then carry on: 688 / 97

Advancing to step 3:
When dividing 688 by 97, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 679 away from 688, we end up with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 97

Let's proceed to step 4:
The number 97 fits into 96 0 times, leaving a remainder of 96.
The number 0 becomes the next digit in our result. 
Result so far: 70.0
Subtracting 0 from 96 leaves us with 96.
Fetch the next digit (8) from the dividend, attach it to 96 and continue: 968 / 97

On to step 5:
If we divide 968 by 97, we get 9 and a remainder of 95.
The number 9 becomes the next digit in our result. 
Result so far: 709.0
Deduct 873 from 968 and we're left with 95.
Fetch the next digit (9) from the dividend, attach it to 95 and continue: 959 / 97

Step 6:
When dividing 959 by 97, we get 9 with a remainder of 86.
Put 9 as the next digit of the answer. 
Result so far: 7099.0
Subtracting 873 from 959 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

On to step 7:
97 goes into 860 8 times with a remainder of 84.
Write down 8 as next digit of the result. 
Result so far: 7099.8
If we subtract 776 from 860, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 8:
840 divided by 97 is 8 with a remainder of 64.
The next digit of our result is 8. 
Result so far: 7099.88
Subtracting 776 from 840 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 7099.88 with a remainder of 0.064.